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If you add heat to water at \(0^{\circ} \mathrm{C}\), the water will decrease in volume until it reaches A) \(1^{\circ} \mathrm{C}\) B) \(2^{\circ} \mathrm{C}\) C) \(3^{\circ} \mathrm{C}\) D) \(4^{\circ} \mathrm{C}\) E) \(100^{\circ} \mathrm{C}\)

Short Answer

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D) \(4^{\circ} \mathrm{C}\)

Step by step solution

01

Understanding the Anomalous Expansion of Water

Water exhibits an interesting phenomenon called anomalous expansion. Unlike most substances, which expand as temperature increases, water experiences a decrease in volume when heated from \(0^{\circ} \mathrm{C}\) to a certain point known as the temperature of maximum density.
02

Identifying the Temperature of Maximum Density

Looking up information in a physical sciences textbook or online reference would reveal that the temperature of maximum density for water, i.e., the point at which it stops decreasing in volume and starts expanding when heated, is \(4^{\circ} \mathrm{C}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Temperature of Maximum Density
The concept of temperature of maximum density is a unique characteristic of water, fitting into its anomalous expansion behavior. At precisely \(4^{\circ} \text{C}\), water achieves its maximum density, meaning it has the smallest volume per unit mass. Before reaching this temperature, as water is heated from \(0^{\circ} \text{C}\), instead of expanding like most substances, it actually contracts. This is why when heat is added to water at \(0^{\circ} \text{C}\), you'll notice that it decreases in volume until it reaches slightly warmer temperatures.
This curious behavior occurs due to the hydrogen bonding in water molecules. Between \(0^{\circ} \text{C}\) and \(4^{\circ} \text{C}\), the water molecules arrange themselves into a lattice structure, which is more efficiently packed than their less ordered form in liquid water. This structure causes the water to occupy less space, increasing its density.
After \(4^{\circ} \text{C}\), water follows the normal expansion trend seen in most materials, where rising temperatures lead to an increase in volume and a decrease in density.
Water Properties
Water is a remarkable substance known for many unique properties because of its molecular structure. One of the most significant features of water is its ability to form hydrogen bonds, which results in its high surface tension and makes it an excellent solvent for many substances.
Thanks to these hydrogen bonds, water exhibits properties such as high heat capacity and high boiling point relative to its molecular weight. The hydrogen bonding also contributes to the density anomaly where ice is less dense than liquid water, causing ice to float.
  • Surface Tension: Allows insects to walk on water and droplets to form.
  • Solvent Abilities: Water can dissolve many ionic compounds and small molecules.
  • Phase Transition: Displays unusual behavior as it transitions between solid, liquid, and gas.
Understanding these properties not only helps in grasping the concept of maximum density but gives insights into the various roles water plays in the natural world and in technology.
Thermal Expansion in Physics
Thermal expansion is a phenomenon where most materials expand as they are heated due to increased molecular motion. For most substances, as the temperature rises, so does the volume, meaning atoms or molecules move further apart, increasing the space they occupy.
In physics, this is typically expressed with a coefficient of thermal expansion, which quantifies how much a material's volume changes with temperature. However, water behaves differently, showing a decrease in volume and increase in density up to its temperature of maximum density.
  • Thermal expansion can cause structural concerns in engineering if not accounted for.
  • Most metals expand when heated, which can impact precision in manufacturing processes.
Water's varied expansion properties underscore the importance of considering unique material behaviors in physical calculations, especially in situations involving precise temperature control.

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Most popular questions from this chapter

Suppose \(20 \mathrm{~g}\) of ice at \(-10^{\circ} \mathrm{C}\) is placed into \(300-\mathrm{g}\) of water in a 200-g copper calorimeter. If the final temperature of the water and copper calorimeter is \(18{ }^{\circ} \mathrm{C}\), what was the initial common temperature of the water and copper?

The specific heat for a sealed system is not constant, rather, it depends on the temperature as follows: \(c(T)=c_{0}+c_{1} T\) (SI units used throughout; \(c_{0}\) and \(c_{1}\) are constants). The mass of the system is \(m\). (a) Write an expression for the heat added to the system when the temperature rises from \(T_{0}\) to \(T_{f}\) (b) If \(c_{0}=2000 \mathrm{~J} /\left(\mathrm{kg}{ }^{*} \mathrm{C}\right)\) and \(c_{1}=40 \mathrm{~J} /\left(\mathrm{kg}^{*}{ }^{\circ} \mathrm{C}^{2}\right)\), find the heat added for \(T_{0}=\) \(20^{\circ} \mathrm{C}\) and \(T_{f}=60^{\circ} \mathrm{C}\). Take the mass of the system to be \(100 \mathrm{~g}\) and assume no phase changes occur.

Starting from \(T_{\mathrm{C}}=\frac{5}{9}\left(T_{\mathrm{F}}-32\right)\) (Equation 14-2), derive a formula for converting from \({ }^{\circ} \mathrm{C}\) to \({ }^{\circ} \mathrm{F}\). Why is it more common for the multiplicative factor in Equation 14-2 to be written as a fraction rather than a decimal?

If you halve the value of the square root of the mean velocity \(v_{\text {ma }}\) of an ideal gas, the absolute temperature must be A. reduced to one-half its original value. B. reduced to one-quarter its original value. C. unchanged. D. increased to twice its original value. E. increased to four times its original value. SSM

Calculate the coefficient of linear expansion for a 10 -m-long metal bar that shortens by \(0.5 \mathrm{~cm}\) when the remperature drops from \(25^{\circ} \mathrm{C}\) to \(10^{\circ} \mathrm{C}\).

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